Extensions 1→N→G→Q→1 with N=C22 and Q=D5xC10

Direct product G=NxQ with N=C22 and Q=D5xC10
dρLabelID
D5xC22xC1080D5xC2^2xC10400,219

Semidirect products G=N:Q with N=C22 and Q=D5xC10
extensionφ:Q→Aut NdρLabelID
C22:1(D5xC10) = C5xD4xD5φ: D5xC10/C5xD5C2 ⊆ Aut C22404C2^2:1(D5xC10)400,185
C22:2(D5xC10) = C10xC5:D4φ: D5xC10/C5xC10C2 ⊆ Aut C2240C2^2:2(D5xC10)400,190

Non-split extensions G=N.Q with N=C22 and Q=D5xC10
extensionφ:Q→Aut NdρLabelID
C22.1(D5xC10) = C5xD4:2D5φ: D5xC10/C5xD5C2 ⊆ Aut C22404C2^2.1(D5xC10)400,186
C22.2(D5xC10) = C5xC4oD20φ: D5xC10/C5xC10C2 ⊆ Aut C22402C2^2.2(D5xC10)400,184
C22.3(D5xC10) = Dic5xC20central extension (φ=1)80C2^2.3(D5xC10)400,83
C22.4(D5xC10) = C5xC10.D4central extension (φ=1)80C2^2.4(D5xC10)400,84
C22.5(D5xC10) = C5xC4:Dic5central extension (φ=1)80C2^2.5(D5xC10)400,85
C22.6(D5xC10) = C5xD10:C4central extension (φ=1)80C2^2.6(D5xC10)400,86
C22.7(D5xC10) = C5xC23.D5central extension (φ=1)40C2^2.7(D5xC10)400,91
C22.8(D5xC10) = C10xDic10central extension (φ=1)80C2^2.8(D5xC10)400,181
C22.9(D5xC10) = D5xC2xC20central extension (φ=1)80C2^2.9(D5xC10)400,182
C22.10(D5xC10) = C10xD20central extension (φ=1)80C2^2.10(D5xC10)400,183
C22.11(D5xC10) = Dic5xC2xC10central extension (φ=1)80C2^2.11(D5xC10)400,189

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